Pith Number

pith:L2CXVGER

pith:2013:L2CXVGERQI2PCUHZIZLD6AUEDL

not attested not anchored not stored refs pending

Optimal polarisation equations in FLRW universes

Julien Lesgourgues, Thomas Tram

arxiv:1305.3261 v2 · 2013-05-14 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2CXVGERQI2PCUHZIZLD6AUEDL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:50:02.111939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e857a98918234f150f946563f02841ad058fa507be13010dfe40f884ff2ee4a

Aliases

arxiv: 1305.3261 · arxiv_version: 1305.3261v2 · doi: 10.48550/arxiv.1305.3261 · pith_short_12: L2CXVGERQI2P · pith_short_16: L2CXVGERQI2PCUHZ · pith_short_8: L2CXVGER

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L2CXVGERQI2PCUHZIZLD6AUEDL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5e857a98918234f150f946563f02841ad058fa507be13010dfe40f884ff2ee4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae61953dadcb72a527c49da7e69b95dffc0a5773593a51bb45415fb825e2b823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-05-14T19:46:12Z",
    "title_canon_sha256": "e9a6e61e09155f4f3a1aeed129f81167fa1b9b2f8e56591837c32e7c1a5bb057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3261",
    "kind": "arxiv",
    "version": 2
  }
}